What is the 2262nd prime number?
The 2262nd prime number is 19997. The next prime is 20011 (a gap of 14) and the one before is 19993.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2262nd one is 19997.
- 2
19997 is prime because no prime up to ā19997 ā 141.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2262nd prime is close to 2262 Ć ln(2262) ā 17472, and here it is 19997.
- 4
19997 has no twin: neither 19995 nor 19999 is prime.
Primes around the 2262nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2259 | 19979 | 6 |
| 2260 | 19991 | 12 |
| 2261 | 19993 | 2 |
| 2262 | 19997 | 4 |
| 2263 | 20011 | 14 |
| 2264 | 20021 | 10 |
| 2265 | 20023 | 2 |
Questions
What is the 2262nd prime number?
19997.
Which prime number is 19997?
19997 is the 2262nd prime number.
What is the sum of the first 2262 primes?
21,171,191.